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Vol 67 Iss. 2
Pages:
174-184
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RUS
Article

Dynamic symmetry in crystallography, mineralogy, petrography and organic world

Authors:
I. I. Shafranovsky
About authors
  • Leningrad Mining Institute
Date submitted:
1973-08-07
Date accepted:
1973-10-21
Date published:
1974-02-01

Abstract

The general doctrine of symmetry owes much of its development to crystallographers and mineralogists who worked within the walls of the Leningrad Mining Institute. First of all, we should recall the achievements of the brilliant scientist E. S. Fedorov (1853-1919).

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References

  1. Boldyrev A. K. Fundamentals of the geometrical doctrine of symmetry. Proc. Imp. SPb. MINERAL SOCIETY pt. 46, 1908.
  2. Boldyrev A. K. Crystallography. L.-M., - Grozny-Novosibirsk, Gorgeonefteizdat, 1934.
  3. Grigoriev D.P. Structure of cubo-octahedral crystals of synthetic diamond. - In collected works: Diamonds. М., 1969, № 3.
  4. Dolivo-Dobrovolsky V. V. Investigation of dodecahedral-icosahedral system. Proc. Russ. Mineral Society, pt. 52, vol. 1, 1924.
  5. Curie P. Selected Works. M.-L., Nauka, 1966.
  6. Lemmlein G. G. Sectorial structure of crystals. M., Publishing House of the AS USSR.
  7. Mikheev V. I. Homology of Crystals. L., Gostoptekhizdat, 1961.
  8. Mokievsky V. A., I. I. Shafranovsky, P. K. Vovk, I. I. Afanasyev, Geometrical derivation of the laws of twinning of crystals. Crystallography, vol. 11, iss. 4, 1966.
  9. Nalivkin D. V. Elements of symmetry of the organic world. Proc. Biol. Scientific and Research Institute at Perm University, vol. 3, vol. 8, 1925.
  10. Nalivkin D. V. Curvilinear symmetry. - In collected works: Crystallography. М. Metallurgizdat, 1951.
  11. Orelkin B. P., Pigulevsky G. V. Application of the crystallochemical method of E. S. Fedorov in scientific and practical work. - In collected works: New Ideas in Chemistry, № 5 (Crystallochemical Analysis). Spb, publishing house Education, 1914.
  12. Plotnikov L. M., Shafranovsky I. I. Symmetry in geology. - In collected works: Problems of Mineralogy and Petrology. L., Nauka, 1972.
  13. Povarennykh A. S. About regularities in the distribution of mineral species in syngonies, symmetry classes and spatial groups. Mineral. collected works. Lvov SU, 1966, № 20.
  14. Spassky N. Y., Kravtsov A. G. Evolution of animals and symmetry. Symmetry in Nature (abstracts). PH Leningrad Oblast Board of Scientific and Technical Mining Society, 1971.
  15. Fedorov E. S. Beginnings of the doctrine of figures. Zap. Imp. St. Petersburg, Mineral Society ch. 21, 1885.
  16. Fedorov E. S. Symmetry of correct systems of figures. Proc. Imp. SPb. Mineral. Society, pt. 28, 1891.
  17. Fedorov E. S. Some corollaries from the law of the ellipsoid of syngony. Proc. Acad. of Sciences, 1904, vol. 31, № 2.
  18. Shafranovsky I. I. Symmetry Groups in Structural Petrology. Proc. All-Union. MINERAL SOCIETY pt. 85, vol. 4, 1956.
  19. Shafranovsky I. I. To the question of clarification of the universal symmetry principle of P. Curie. Proc. All-Union. Mineral Society pt. 93, vol. 4, 1964.
  20. Shafranovsky I. I. Symmetry in Nature. L., Nedra, 1968.
  21. Shafranovsky I. I. To the question of statistical distribution of minerals by categories of singonies. Proc. All-Union. Mineral Society, pt. 97, vol. 3, 1968.
  22. Shafranovsky I. I. Crystallographic laws E. S. Fedorov and statistical distribution of minerals by syngonies. - In Collected Works: Ideas of E. S. Fedorov in modern crystallography and mineralogy. L., Nauka, 1970.
  23. Shafranovsky I.I., Koren R.V. False (distorted) forms of real crystals. - In collected works: Ideas of E. С. Fedorov in Modern Crystallography and Mineralogy. L., Nauka, 1970.
  24. Shubnikov A.V. About Pierre Curie's works in the field of symmetry. Physics Achievements. 1956, V. 59, vol. 4.
  25. Shubnikov A. V. The Problem of Dissymmetry of Material Objects M., Publishing House of the AS USSR, 1961.
  26. Shubnikov A. V. V., Koptsik V. A. Symmetry in Science and Art. Moscow, Nauka, 1971.
  27. Internationale Tabeilen zur Bestimmung von Kristallstrukturen. Berlin, 1935.
  28. Raterson M. S., Weiss L. E. The Geological Society of America Bulletin, New York, No 72, 1961.

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